cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A055316 Number of labeled trees with n nodes and 4 leaves.

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%I A055316 #22 Aug 19 2025 15:27:30
%S A055316 5,210,5250,109200,2116800,40219200,768398400,14968800000,
%T A055316 299675376000,6193291104000,132456516192000,2935293064704000,
%U A055316 67432408243200000,1605928737853440000,39636028549877760000,1013303686405570560000,26816358272375992320000,734112975329750016000000
%N A055316 Number of labeled trees with n nodes and 4 leaves.
%H A055316 Vincenzo Librandi, <a href="/A055316/b055316.txt">Table of n, a(n) for n = 5..200</a>
%H A055316 <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F A055316 a(n) = (n!/4!)*Stirling2(n-2, n-4). - _Vladeta Jovovic_, Jan 28 2004
%F A055316 a(n) = n! * (n-4)*(n-3)*(n-2)*(3*n-11)/576. - _Vaclav Kotesovec_, Jul 25 2014
%t A055316 Table[n! * (n-4)*(n-3)*(n-2)*(3*n-11)/576,{n,5,20}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o A055316 (Magma) [Factorial(n)*(n-4)*(n-3)*(n-2)*(3*n-11)/576: n in [5..25]]; // _Vincenzo Librandi_, Jul 25 2014
%Y A055316 Column 4 of A055314.
%K A055316 nonn
%O A055316 5,1
%A A055316 _Christian G. Bower_, May 11 2000